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Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations
Werner Balser
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Description for Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations
Hardback. Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. This book presents the classical theory of meromorphic systems of ODE, in the light of the achievements in the theory of summability of formal power series. Series: Universitext. Num Pages: 319 pages, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 19. Weight in Grams: 670.
Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. In fact, every linear meromorphic system has a formal solution of a certain form, which can be relatively easily computed, but which generally involves such power series diverging everywhere. In this book the author presents the classical theory of meromorphic systems of ODE in the new light shed upon it by the recent achievements in the theory of summability of formal power series.
Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. In fact, every linear meromorphic system has a formal solution of a certain form, which can be relatively easily computed, but which generally involves such power series diverging everywhere. In this book the author presents the classical theory of meromorphic systems of ODE in the new light shed upon it by the recent achievements in the theory of summability of formal power series.
Product Details
Format
Hardback
Publication date
1999
Publisher
Springer-Verlag New York Inc. United States
Number of pages
319
Condition
New
Series
Universitext
Number of Pages
301
Place of Publication
New York, NY, United States
ISBN
9780387986906
SKU
V9780387986906
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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